The fraction 7/9 is in the lowest terms. True or false ??

Answer:

The are infinite

Step-by-step explanation:

some are 1,-1

2,-2

3,-3

10000,-10000

Answer:

It’s a

Step-by-step explanation:

Answer:

x-intercept=4 and y-intercept = 12

Step-by-step explanation:

To find the x-intercept, make the y=0:

0 = -3x+12

3x = 12

x=12/3

x=4

To find the y-intercept, make the x=0:

y = -3(0) +12

y = 0 +12

y = 12

Hope this helps!

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Answer:

y=12,0

x=4,0

Step-by-step explanation:

for those who were just as confused as i was <3

Step-by-step explanation:

It is given that [tex]9[/tex] people bought tickets in [tex]70[/tex] seconds.

So,[tex]\frac{9}{70}[/tex] people can buy tickets in a second.

It is given that the current time is [tex]6:09pm[/tex] and movie starts at [tex]6:30pm[/tex].

So there is [tex]30-9=21minutes[/tex] until movie starts.

In [tex]21[/tex] minutes,the number of persons that can buy tickets are [tex]\frac{9}{70}\times 21\times 60=162[/tex].

So,[tex]162[/tex] people can buy tickets in [tex]21[/tex] minutes.

Since there are only [tex]146[/tex] people in front of you,you can buy a ticket.

Answer:

−18x+2

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Given

[tex](8x+12y)^2+(6x+9y)^2=(10x+15y)^2[/tex]

Note

[tex](8x+12y)^2=(4(2x+3y))^2=16(2x+3y)^2\\ \\(6x+9y)^2=(3(2x+3y))^2=9(2x+3y)^2\\ \\(10x+15y)^2=(5(2x+3y))^2=25(2x+3y)^2[/tex]

Since

[tex]16(2x+3y)^2+9(2x+3y)^2=(2x+3y)^2(16+9)=25(2x+3y)^2,[/tex]

this is an identity

Answer:

(-8, -21)

Step-by-step explanation:

y=2x-5

3x+3=y

------------

2x-5=3x+3

2x-3x-5=3

-x-5=3

-x=3+5

-x=8

x=-8

y=2(-8)-5=-16-5=-21

Answer: x=-8, y=-21.

Answer:

The amount invested in the mutual fund that earned 5% was $1,000

The amount invested in the mutual fund that earned 3% was $1,800

Step-by-step explanation:

Let

x ----> the amount invested in the mutual fund that earned 5%

y ----> the amount invested in the mutual fund that earned 3%

we know that

[tex]x+y=2,800[/tex] ----> [tex]y=2,800-x[/tex] ----> equation A

[tex]5\%=5/100=0.05[/tex]

[tex]3\%=3/100=0.03[/tex]

[tex]0.05x+0.03y=104[/tex] ----> equation B

Solve the system by substitution

substitute equation A in equation B

[tex]0.05x+0.03(2,800-x)=104[/tex]

Solve for x

[tex]0.05x+84-0.03x=104[/tex]

[tex]0.05x-0.03x=104-84[/tex]

[tex]0.02x=20[/tex]

[tex]x=\$1,000[/tex]

Find the value of y

[tex]y=2,800-x[/tex]

[tex]y=2,800-1,000=\$1,800[/tex]

therefore

The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800

It will take the bug 7.5s to travel across the floor.

Step-by-step explanation:

Distance = 7.5 meters

Speed = 1 m/s

The formula for speed is

[tex]Speed = \frac{Distance}{Time}\\\\Time = \frac{Distance}{Speed}\\Time=\frac{7.5}{1}\\Time=7.5\ s[/tex]

It will take the bug 7.5s to travel across the floor.

Keywords: distance, speed

Learn more about distance at:

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Answer:

12 pieces

Step-by-step explanation:

75 divided by 6 1/4= 12 pieces

Answer:

$60

Step-by-step explanation:

11 identical pairs of Air Jordan cost $660.

To find the cost of one pair, you have simply to divide the total amount paid by the total number of pairs.

Total amount paid = $660

Total number of pairs = 11

The cost of one pair [tex]=\$660 : 11=\$60[/tex]

To find the cost of one pair of Air Jordan sneakers from the total cost of 11 pairs, divide the total cost ($660) by the number of pairs (11), which equals $60 per pair.

The question concerns determining the cost of one pair of Air Jordan sneakers given the total cost for 11 pairs. This is a basic division problem that falls under the category of arithmetic in mathematics. To find the cost of one pair, divide the total cost by the number of pairs. Here is how the calculation is done step-by-step:

Therefore, the cost for one pair of Air Jordan sneakers is $60.

Answer:

The set of integer between 4 and 8 = { 5, 6, 7 }.

Step-by-step explanation:

Set:

A set is a well-defined  collection of distinct objects, elements encloses in curly bracket.  

For example.

set of vowels = { a, e, i, o, u }

set of any three Capital alphabets = { A, B ,Z }

set of cars = { Ferrari, Volvo, Mercedes, Audi }

Now we want set of integer between 4 and 8

Integer: All the positive and negative natural numbers are called integers.

-1, -2, -3, 1, 2, 3, 4, 5, 6 ,7 , 8 ..

The set of integer between 4 and 8 = { 5, 6, 7 }.

Answer:

1/3

Step-by-step explanation:

2 ÷ 3 /8

To divide by a fraction, multiply by its reciprocal.

2 ( 8 /3 )

Multiply  

2

(

8

3

)

.

Tap for more steps...

16

3

The result can be shown in multiple forms.

Exact Form:

16

3

Decimal Form:

5.

¯

3

Mixed Number Form:

5

1 /3

5 is the quotient and 1 is a reminder.

the result obtained by dividing two numbers is known as the quotient.

dividend / divisor = quotient + reminder

Given problem 2 ÷ 3/8. after simplifying it.

2 ÷ 3/8 = 16 ÷ 3

2 ÷ 3/8 =  5 + 1/3

Therefore the given problem quotient is 5 and the remainder is 1.

Learn more about quotient here:

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Answer:

5/8

Step-by-step explanation:

if I understand correctly the problem is

(2*X)-(3/4)=1/2

to solve for x we need to isolate it, the first step in doing so is getting rid of the 3/4

2*X-3/4+3/4=1/2+3/4

simplify

2*X=1 1/4

the next step is getting rid of the 2

(2*X)/2=(1 1/4)/2

simplify

X=5/8

To find the x-intercept of the linear equation y = 1/4x + 5/4, substitute y = 0 into the equation and solve for x. The x-intercept is -5.

To find the x-intercept of the graph of the equation y = 1/4x + 5/4, we need to set the y-value to 0 and solve for x.

So, by substituting y = 0 into the equation, we get 0 = 1/4x + 5/4.  

Now, we can solve for x by isolating x on one side of the equation. Subtracting 5/4 from both sides gives us -5/4 = 1/4x. Multiplying both sides by 4 gives us -5 = x, or x = -5.

Therefore, the x-intercept of the graph is -5.

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Answer:

Monthly Salary = $2,600

Step-by-step explanation:

Monthly rent on monthly salary = 25%

Monthly rent = $650.

To determine the monthly sale, we have to use the unitary method.

25% monthly rent on monthly salary means out of $100, Deja spends $25 on her rent.

Therefore,

Deja spends $25 on her rent, when the monthly salary   = $100

Deja spends $1 on her rent, when the monthly salary      = [tex]\frac{100}{25}[/tex]

Deja spends $650 on her rent, when the monthly salary = [tex]\frac{100*650}{25}[/tex]

= [tex]\frac{65000}{25}[/tex]

= $2,600

Her monthly salary is $2,600.

Answer:

24.36

Step-by-step explanation:

26.7 / 1.07 = 24.36

Answer:

$25.30

Step-by-step explanation:

The final bill was $25.30 if you get a haircut that cost $23.if you tip the barber 10% of the total haircut cost.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

You get a haircut that cost $23.if you tip the barber 10% of the total hair cut cost.

Let x be the final bill amount.

The value of x can be found as follows:

x = $23 + 10% of $23

x = 23 + (10/100)23

x = 23 + 0.1(23)

x = 23 + 2.30

x = $25.30

Thus, the final bill was $25.30 if you get a haircut that cost $23.if you tip the barber 10% of the total haircut cost.

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Answer:

x ≤ 3

This is because it is a closed circle.

Answer:

C. y +3 = x +3

Step-by-step explanation:

We need to find in below option x has direct variation with y.

We solve for each;

A. [tex]2y = 3x-7[/tex]

From above equation we can state that 2 times y is equal to 7 less than 3 times of x.

Hence it doesn't represent direct variation.  

B. [tex]y-4 = x+6[/tex]

Solving above expression we get;

[tex]y-4 = x+6\\y = x+6+4\\y=x+10[/tex]

From above equation we can state that y is equal to 10 more than x.

Hence it doesn't represent direct variation.

C. [tex]y+3 = x+3[/tex]

Solving above expression we get;

[tex]y+3 = x+3\\y = x+3-3\\y=x[/tex]

From above equation we can state that y is equal to x.

Hence it represent direct variation.

D. [tex]4y+1 = 4x-1[/tex]

Solving above expression we get;

[tex]4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2[/tex]

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.

Hence it doesn't represent direct variation.

Hence the Answer which represent direct variation of x and y is,

C. [tex]y+3 = x+3[/tex]

The original selling price of the ski set is $585.71.

Step 1: Determine the final sale price after the first markdown

The one-day sale price of the ski set is $328, and the first markdown is 20%. To find the final sale price after the first markdown, we can set up the equation:

0.80 × Original Price = $328

Solving for the original price, we get:

Original Price = $328 / 0.80 = $410

Therefore, the final sale price after the first markdown is $410.

Step 2: Determine the original selling price

The final sale price after the first markdown is $410, and the second markdown is 30%. To find the original selling price, we can set up the equation:

0.70 × Original Price = $410

Solving for the original price, we get:

Original Price = $410 / 0.70 = $585.71

Therefore, the original selling price of the ski set is $585.71.

Answer:

31

Step-by-step explanation:

Avery has 31 left

5 x 8 = 40

40 - 9 = 31

therefore avery has 31 pencils left

After 5.11 years, amount due reach $65,000 or more

Solution:

Given that a loan of $46,000 is made.

Rate of interest charged is 7% compounded annually

Need to determine number of years in which the amount due reach $65,000 or more.

In our case

Amount due A = $65000

Loan Amount that is principal P = $46000

Rate of interest r = 7%

Formula for Amount compounded anually is as follows:

[tex]\mathrm{A}=P\left(1+\frac{r}{100}\right)^{n}[/tex]

Substituting the values in above formula we get

[tex]\begin{array}{l}{65000=46000\left(1+\frac{7}{100}\right)^{n}} \\\\ {\frac{65000}{46000}=\left(\frac{107}{100}\right)^{n}} \\\\ {\Rightarrow 1.4130=(1.07)^{n}}\end{array}[/tex]

Applying log on both sides, we

[tex]\begin{array}{l}{\ln 1.4130=n \ln 1.07} \\\\ {=>\frac{\ln 1.4130}{\ln 1.07}=\mathrm{n}} \\\\ {=>\mathrm{n}=\frac{0.34571}{0.067658}=5.1096=5.11}\end{array}[/tex]

Hence after 5.11 years , amount due reach $65,000 or more

Answer:

The value of sin t is [tex]\frac{7}{25}[/tex]

Step-by-step explanation:

Given as :

cos (t) = [tex]\frac{24}{25}[/tex]

Since sin² t + cos² t = 1

So, sin² t = 1 - cos² t

or,  sin² t = 1 - ([tex]\frac{24}{25}[/tex])²

or,  sin² t = [tex]\frac{25^{2} - 24^{2} }{25^{2} }[/tex]

Or,  sin² t = [tex]\frac{625 - 576}{625}[/tex]

Or ,   sin² t = [tex]\frac{49}{625}[/tex]

Or, sin t = [tex]\sqrt{\frac{49}{625} }[/tex]

So, sin t = [tex]\frac{7}{25}[/tex]

Hence The value of sin t is [tex]\frac{7}{25}[/tex]   Answer

Answer:

Step-by-step explanation:

18

9+3=12+6=18

Answer:

18

Step-by-step explanation:

Add 9 and 3;

9 + 3 = 12

Then add 6 to the result

12 + 6 = 18

Answer:

The speed at which the satellite travel is 6.80 miles per second

Step-by-step explanation:

Given as :

The distance cover by satellites = 29 [tex]\frac{1}{2}[/tex]  miles

Or, The distance cover by satellites  = [tex]\frac{59}{2}[/tex] miles

The Time taken by satellite to travel with this speed = 4[tex]\frac{1}{3}[/tex] sec

Or, The Time taken by satellite to travel with this speed = [tex]\frac{13}{3}[/tex] seconds

Let the Speed with which the satellite travel = s miles per second

Now, As we know

Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]

Or, s = [tex]\frac{\frac{52}{2}}{\frac{13}{3}}[/tex]

or, s = [tex]\frac{59\times 3}{2\times 13}[/tex]

∴ s = 6.80 mps

So, speed = s = 6.80 miles per second

Hence The speed at which the satellite travel is 6.80 miles per second Anwser

Answer:

The graph of g(x) is f(x) translated 3 units up.

Answer:

The amount charged is proportional to the ears of corn

Step-by-step explanation:

Now I'm going to explain, but write it in your own words. It's proportional because the amount charged is completely reliant on how many ears of corn you are buying.

So for every 1 ear of corn, you pay about 33 cents

or

For every 2 ears of corn, you pay about 67 cents

1. Incomplete/ Because they found no gold in that country...

2. Incomplete/ After, they went running through...

3. Complete/ He wants to visit the Moon.

4. Incomplete/ The boy who has lots of freckles...

5. Incomplete I believe/ She turned a page in her book...

6. Incomplete/ A book that I read...

7. Incomplete/ Before the race began....

Answer:

Incomplete/ Because they found no gold in that country...

2. Incomplete/ After, they went running through...

3. Complete/ He wants to visit the Moon.

4. Incomplete/ The boy who has lots of freckles...

5. Incomplete I believe/ She turned a page in her book...

6. Incomplete/ A book that I read...

7. Incomplete/ Before the race began....

Step-by-step explanation:

1 minute has 60 seconds. So dividing the number of seconds jack has to walk from school to home by 60 will give us minutes.

[tex]t=\dfrac{360\mathrm{s}}{60}=\boxed{6\mathrm{min}}[/tex]

Hope this helps.

Answer:

  -0.46 or -23/50

Step-by-step explanation:

We note that 0.14 is easily divisible by 7, so we can do this using the distributive property:

  (-3 2/7)(0.14) = (-1)(3 + 2/7)(0.14)

  = (-1)(3×0.14 +2/7×0.14)

  = (-1)(0.42 +0.04)

  = -0.46 . . . . . decimal form

  = -46/100 . . . . place value

  = -23/50 . . . . remove common factor of 2; fraction form

The product is -0.46 or -23/50.